Paper example 8: Pigeons C360_10 / C480_9



SweepDist


Curves # Vertices Length
P 864 0.14217708062347653
Q 1168 0.17601067036212667

Distance Value Iters
Fréchet 0.007546749366447243 0
VE Fréchet 0.007546749366447243 189096

Animation: Fréchet morphing

This is the animation of the morphing computed that is both continuous and monotone.


Animation: VE Retractable Fréchet

This is the animation of the VE retractable morphing. It is potentially not monotone (but it is continuous.


Free space diagram heatmap:


VE-Fréchet Retractable solution:


Monotonized...

Fréchet cont+monotone solution:


Discrete Fréchet

The resulting morphing - extended to continuous:

Specifically, to get a smooth animation, the leash is shown as moving continuously, by interpolating between the discrete locations.


The discrete retractable version


The discrete dynamic time warping


P # vertices: 864
P # vertices: 1168
DFréchet iters : 1009152
Retract DFréchet iters : 93762

Animation: Fréchet morphing as morphing


2025-03-08 21:00:41